मराठी

Make correct statement by filling in the symbols ⊂ or ⊄ in the blank space: {x : x is a circle in the plane} _____ {x : x is a circle in the same plane with radius 1 unit}

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प्रश्न

Make correct statement by filling in the symbols ⊂ or ⊄ in the blank space:

{x : x is a circle in the plane} _____ {x : x is a circle in the same plane with radius 1 unit}

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उत्तर

{x : x is a circle in the plane} {x : x is a circle in the same plane with radius 1 unit}

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Sets - EXERCISE 1.3 [पृष्ठ १२]

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एनसीईआरटी Mathematics [English] Class 11
पाठ 1 Sets
EXERCISE 1.3 | Q 1. (iv) | पृष्ठ १२

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

{a} ⊂ {a. b, c}


{a} ∈ (a, b, c)


{x : x is an even natural number less than 6} ⊂ {x : x is a natural number which divides 36}


Write down all the subsets of the following set:

{a}


Write the following as interval:

{x : x ∈ R, – 4 < x ≤ 6}


Write the following as intervals:  {x: x ∈ R, –12 < x < –10}


Write the given intervals in set-builder form:

(–3, 0)


Write the given intervals in set-builder form:

[6, 12]


Write the following interval in set-builder form:

(6, 12]


Determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.

If x ∈ A and A ∈ B, then x ∈ B


Determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.

If A ⊂ B and B ⊂ C, then A ⊂ C


Determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.

If x ∈ A and A ⊄ B, then x ∈ B


If A = {x ∈ C : x2 = 1} and B = {x ∈ C : x4 = 1}, then write A − B and B − A


Let A and B be two sets having 4 and 7 elements respectively. Then write the maximum number of elements that \[A \cup B\] can have. 


If A and B are two sets such that \[n \left( A \right) = 20, n \left( B \right) = 25\]\text{ and } \[n \left( A \cup B \right) = 40\], then write \[n \left( A \cap B \right)\] 


The number of subsets of a set containing n elements is 


For any two sets A and B,\[A \cap \left( A \cup B \right) =\]


If A = |1, 2, 3, 4, 5|, then the number of proper subsets of A is 


Make correct statement by filling in the symbols ⊂ or ⊄ in the blank space:

{a, b, c} _____ {b, c, d}


Make correct statement by filling in the symbols ⊂ or ⊄ in the blank space:

{x : x is an equilateral triangle in a plane} _____ {x : x is a triangle in the same plane}


Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

{3, 4} ∈ A


Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

1 ∈ A


Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

{1, 2, 5} ∈ A


Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

{1, 2, 3} ⊂ A


Given that N = {1, 2, 3, ..., 100}, then write the subset B of N, whose element are represented by x + 2, where x ∈ N.


State true or false for the following statement given below:

Let R and S be the sets defined as follows:
R = {x ∈ Z | x is divisible by 2}
S = {y ∈ Z | y is divisible by 3}
then R ∩ S = φ


Given that N = {1, 2, 3, ... , 100}. Then write the subset of N whose element are perfect square numbers.


If X = {1, 2, 3}, if n represents any member of X, write the following sets containing all numbers represented by n + 6


If X = {1, 2, 3}, if n represents any member of X, write the following sets containing all numbers represented by `n/2`


If Y = {1, 2, 3, ... 10}, and a represents any element of Y, write the following sets, containing all the elements satisfying the given conditions.

a + 1 = 6, a ∈ Y


If Y = {1, 2, 3, ... 10}, and a represents any element of Y, write the following sets, containing all the elements satisfying the given conditions.

a is less than 6 and a ∈ Y


If X = {8n – 7n – 1 | n ∈ N} and Y = {49n – 49 | n ∈ N}. Then ______.


State True or False for the following statement.

If A is any set, then A ⊂ A.


State True or False for the following statement.

The sets {1, 2, 3, 4} and {3, 4, 5, 6} are equal.


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